In multiplying or dividing by a negative in an inequality what happens to the sign?
Flip the Sign!
100
For the points ܲP(-8,4) and ܳQ(3,-5) find: the distance d(P,Q)
sqrt(202)
100
Equation for a circle with center (0,0) and Radius 6
x^2 + y^2 = 36
100
Decide whether the relation defines a
function.
G = {(1,1),(1,2)(1,3)(2,3)}
As the correspondence shows
below, relation G is not a function because
one first component corresponds to more
than one second component.
100
What is the Domain and Range of the Square Root Function: f(x) = sqrt(x)
Domain: [0,INF)
Range: [0,INF)
200
When the graphs answers over lap it is called an _______________________ of two graphs
Intersection
200
Find coordinates of the endpt. of the line segment, given its mdpt (5,8) & other endpt. (13,10)
(-3,6)
200
Equation for a circle with center (-2,5) and Radius 4
(x+2)^2 + (y-5)^2 = 16
200
Give the domain and range of the relation.
a. {(3, 1),(4,2),(4,5),(6,8)}
The domain, the set of x-values, is {3, 4, 6};
the range, the set of y-values is {–1, 2, 5, 8}.
200
What is the Domain and Range of the Cube Root Function: f(x) = (x)^(1/3)
Domain: (-INF,INF)
Range: (-INF,INF)
300
When we have an absolute inequality how many cases do we have?
2
300
The distance formula
√(ΔX^2+ΔY^2)
300
Decide whether this equation has a circle as it graph. If yes, give its equation. If not, describe the graph.
x^2 + y^2 + 6x + 8y + 9 = 0
(x+3)^2 + (y+4)^2 = 16
300
Give the Domain and Range of y = sqrt(2x-1)
Domain is [1/2,INF)
Range is [0,INF)
300
What is the Domain and Range of the Absolute Value Function: f(x) = |X|
Domain: (-INF,INF)
Range: [0,INF)
400
Solve the following inequality with the answer in interval notation: |9m + 2| <= 1
[-1/3,-1/9]
400
How do you find the midpoint of a segment?
find the average of the coordinates
400
(x-2)^2 + (y+1)^2 = 5
What is the radius of this equation?
Sqrt(5)
400
Let ƒ(x) = –x^2 + 5x – 3 and g(x) = 2x + 3. Find
and simplify.
a.ƒ(Q)
ƒ =−Q^2 + 5Q -3
400
Test for Symmetry with respect to the x axis and y axis:
y = x^2 + 4
Symmetric with Respect to the y-axis, but not x-axis.
500
Solve the following inequality with the answer in interval notation: |3-2z| <= 5
[-1,4]
500
Graph G has a line of symmetry of x = –5/2. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3?
The line of symmetry is x = –2.5. The point (3, 3) is 3 – (–2.5) = 5.5 to the right of this line of symmetry. It’s reflection must be 5.5 units to the left of the line of symmetry, so (–2.5) – (5.5) = –8 is the x-coordinate.
500
Decide whether this equation has a circle as it graph. If yes, give its equation. If not, describe the graph.
x^2 + y^2 + 4x - 8y + 32 = 0
Nonexistent since -12<0
500
Let ƒ(x) = –x^2 + 5x – 3 and g(x) = 2x + 3. Find
and simplify.
g(a+1)
2a + 5
500
Test for Symmetry with respect to the x axis and y axis:
2x + y = 4